On best possible order of convergence estimates  in the collocation method and Galerkin's method  for singularly perturbed boundary value   problems for systems of first-order  ordinary differential equations

I. A. Blatov; V. V. Strygin

doi:10.1090/s0025-5718-99-01034-0

On best possible order of convergence estimates in the collocation method and Galerkin's method for singularly perturbed boundary value problems for systems of first-order ordinary differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-99-01034-0 ◽

1999 ◽

Vol 68 (226) ◽

pp. 683-716 ◽

Cited By ~ 3

Author(s):

I. A. Blatov ◽

V. V. Strygin

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Collocation Method ◽

Order Of Convergence ◽

Boundary Value ◽

Singularly Perturbed ◽

Galerkin’S Method ◽

First Order ◽

Convergence Estimates

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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30303-5 ◽

1988 ◽

Vol 8 (3) ◽

pp. 239-248 ◽

Cited By ~ 2

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations

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Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory

Journal of Optimization Theory and Applications ◽

10.1023/a:1022639003366 ◽

1998 ◽

Vol 97 (2) ◽

pp. 455-470 ◽

Cited By ~ 18

Author(s):

S. Natesan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Chemical Reactor ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value

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On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.06.016 ◽

2012 ◽

Vol 263 (7) ◽

pp. 1939-1980 ◽

Cited By ~ 13

Author(s):

Mark M. Malamud ◽

Leonid L. Oridoroga

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

First Order

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Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00160-1 ◽

2003 ◽

Vol 137 (2-3) ◽

pp. 549-570 ◽

Cited By ~ 6

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value ◽

Two Parameter

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UNIQUENESS OF SOLUTIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR THIRD ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30163-2 ◽

1992 ◽

Vol 12 (3) ◽

pp. 304-307

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations ◽

Uniqueness Of Solutions ◽

Third Order

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Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.140 ◽

2006 ◽

Vol 172 (1) ◽

pp. 252-266 ◽

Cited By ~ 14

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Interior Layer ◽

Asymptotic Numerical Method

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Asymptotic Initial-Value Method for Singularly-Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations

Journal of Optimization Theory and Applications ◽

10.1023/a:1022118420907 ◽

2003 ◽

Vol 116 (1) ◽

pp. 167-182 ◽

Cited By ~ 13

Author(s):

T. Valanarasu ◽

N. Ramanujan

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value

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A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.06.015 ◽

2004 ◽

Vol 47 (10-11) ◽

pp. 1673-1688 ◽

Cited By ~ 19

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed

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Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations

International Journal of Computer Mathematics ◽

10.1080/00207160211284 ◽

2002 ◽

Vol 79 (6) ◽

pp. 747-763 ◽

Cited By ~ 8

Author(s):

S. Valarmathi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Third Order

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A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00040-6 ◽

2002 ◽

Vol 129 (2-3) ◽

pp. 269-294 ◽

Cited By ~ 23

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed

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